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Quantum anomalies are the breaking of a classical symmetry by quantum fluctuations. They dictate how physical systems of diverse nature, ranging from fundamental particles to crystalline materials, respond topologically to external…

Mesoscale and Nanoscale Physics · Physics 2016-02-12 Jan Behrends , Adolfo G. Grushin , Teemu Ojanen , Jens H. Bardarson

Two-dimensional semimetals with tilted Dirac cones in the electronic band structure are shown to exhibit spatial separation of carriers belonging to different valleys under illumination. In stark contrast to gapped Dirac materials this…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 A. Wild , E. Mariani , M. E. Portnoi

Dirac-like cones, featuring conical linear dispersions intersecting with flat bands, typically arise from accidental degeneracy of multiple modes that requires precise tuning of material and structural parameters, inherently limiting their…

Optics · Physics 2025-07-15 Muxuan Yang , Dongyang Yan , Lei Gao , Wei Liu , Yun Lai , Yadong Xu , Zhi Hong Hang , Jie Luo

We theoretically investigate dispersion of plasma waves propagating in a lateral plasmonic crystal based on a two-dimensional electron system with grating gates. Two specific configurations are analyzed: a system with single grating gate…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 I. V. Gorbenko , P. A. Gusikhin , V. Yu. Kachorovskii , V. M. Muravev

Hexagonal warping provides an anisotropy to the dispersion curves of the helical Dirac fermions that exist at the surface of a topological insulator. A sub-dominant quadratic in momentum term leads to an asymmetry between conduction and…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 J. P. F. LeBlanc , J. P. Carbotte

Different from the Fermi surface of the type-I Dirac semimetal being a point, that of the type-II Dirac semimetal is a pair of crossing lines because the Dirac cone is tilted with open and hyperbolic isofrequency contours. As an optical…

We show that a thin film of Weyl or Dirac semimetal with a strong in-plane magnetic field becomes a novel two-dimensional Fermi liquid with interesting properties. The Fermi surface in this system is strongly anisotropic, which originates…

Mesoscale and Nanoscale Physics · Physics 2016-02-24 Daniel Bulmash , Xiao-Liang Qi

The dislocation in Dirac semimetal carries an emergent magnetic flux parallel to the dislocation axis. We show that due to the emergent magnetic field the dislocation accommodates a single fermion massless mode of the corresponding…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 M. N. Chernodub , Mikhail Zubkov

Three-dimensional Dirac semimetals, a three-dimensional analogue of graphene, are unusual quantum materials with massless Dirac fermions, which can be further converted to Weyl fermions by breaking time reversal or inversion symmetry.…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 Li-Xian Wang , Cai-Zhen Li , Da-Peng Yu , Zhi-Min Liao

We demonstrate that, apart from the chiral anomaly, Dirac semimetals possess another quantum anomaly, which we call the mirror anomaly, and which manifests in a singular response of the Dirac semimetal to an applied magnetic field. Namely,…

Mesoscale and Nanoscale Physics · Physics 2018-01-09 A. A. Burkov

We report a unified theory based on linear response, for analyzing the longitudinal optical conductivity (LOC) of materials with tilted Dirac cones. Depending on the tilt parameter $t$, the Dirac electrons have four phases: untilted,…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 Jian-Tong Hou , Chang-Xu Yan , Chao-Yang Tan , Zhi-Qiang Li , Peng Wang , Hong Guo , Hao-Ran Chang

We present analytical and numerical results that demonstrate the presence of anomalous entanglement behavior on the Dirac Billiards. We investigate the statistical distribution of the characteristic entangled measures, focusing on the mean,…

Mesoscale and Nanoscale Physics · Physics 2015-01-26 J. G. G. S. Ramos , I. M. L. da Silva , A. L. R. Barbosa

The anomalous spin Hall conductivity in the holographic model of Dirac semimetals with two Dirac nodes protected by the crystal symmetry has been elaborated. Such system besides the chiral anomaly possesses another anomaly which is related…

High Energy Physics - Theory · Physics 2021-10-19 Bartłomiej Kiczek , Marek Rogatko , Karol I. Wysokiński

Based on their formation mechanisms, Dirac points in three-dimensional systems can be classified as accidental or essential. The former can be further distinguished into type-I and type-II, depending on whether the Dirac cone spectrum is…

Materials Science · Physics 2017-09-12 Cong Chen , Shan-Shan Wang , Lei Liu , Zhi-Ming Yu , Xian-Lei Sheng , Ziyu Chen , Shengyuan A. Yang

The Berry phase-related nontrivial electronic band geometries can significantly influence bulk and edge plasmons resulting in their non-reciprocal propagation and opening new opportunities for plasmonics. In the present work, we extend the…

Mesoscale and Nanoscale Physics · Physics 2025-04-22 Cooper Finnigan , Dmitry K. Efimkin

The prospect of a Dirac half metal, a material which is characterized by a bandstructure with a gap in one spin channel but a Dirac cone in the other, is of both fundamental interest and a natural candidate for use in spin-polarized current…

Strongly Correlated Electrons · Physics 2015-11-23 Yuanchang Li , Damien West , Huaqing Huang , Jia Li , S. B. Zhang , Wenhui Duan

Emergent Dirac fermion states underlie many intriguing properties of graphene, and the search for them constitute one strong motivation to explore two-dimensional (2D) allotropes of other elements. Phosphorene, the ultrathin layers of black…

Dirac materials are of great interest as condensed matter realizations of the Dirac and Weyl equations. In particular, they serve as a starting point for the study of topological phases. This physics has been extensively studied in…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh

Physics arising from two-dimensional~(2D) Dirac cones has been a topic of great theoretical and experimental interest to studies of gapless topological phases and to simulations of relativistic systems. Such $2$D Dirac cones are often…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Raditya Weda Bomantara , Wenlei Zhao , Longwen Zhou , Jiangbin Gong

Using both multiple scattering theory and effective medium theory, we find that an acoustic metamaterial consisting of an array of spinning cylinders can possess a host of unusual properties including folded bulk and interface-state bands…

Applied Physics · Physics 2020-02-19 Degang Zhao , Yao-Ting Wang , Kin-Hung Fung , Zhao-Qing Zhang , C. T. Chan